7965 has 16 divisors (see below), whose sum is σ = 14400. Its totient is φ = 4176.

The previous prime is 7963. The next prime is 7993. The reversal of 7965 is 5697.

It is not a de Polignac number, because 7965 - 2¹ = 7963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106 + ... + 164.

It is an arithmetic number, because the mean of its divisors is an integer number (900).

2⁷⁹⁶⁵ is an apocalyptic number.

7965 is the 45-th decagonal number.

It is an amenable number.

7965 is a deficient number, since it is larger than the sum of its proper divisors (6435).

7965 is a wasteful number, since it uses less digits than its factorization.

7965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 67 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 7965 is about 89.2468486839. The cubic root of 7965 is about 19.9707906949.

It can be divided in two parts, 79 and 65, that added together give a square (144 = 12²).

The spelling of 7965 in words is "seven thousand, nine hundred sixty-five".